May anyone give me an example of a independent and an dependent probability word problem about food?
Certainly! Here's an example of an independent probability word problem about food:
Problem: In a bag of assorted candies, there are 5 blue candies, 3 red candies, and 2 green candies. What is the probability of selecting a red candy and then a green candy, if the candies are replaced after each selection?
Solution: To find the probability of the independent events - selecting a red candy and then a green candy - we multiply the probabilities of each event.
Probability of selecting a red candy = 3/10
Probability of selecting a green candy = 2/10
Since the candies are replaced after each selection, the probability of selecting a red candy and then a green candy is:
(3/10) * (2/10) = 6/100 = 3/50
So, the probability of selecting a red candy and then a green candy is 3/50.
Now, let's move on to a dependent probability word problem about food:
Problem: In a fruit basket, there are 4 oranges, 6 apples, and 2 bananas. What is the probability of selecting 2 oranges in a row, without replacement?
Solution: To find the probability of dependent events - selecting 2 oranges in a row without replacement - we need to adjust the probabilities for each event based on the previous selections.
Probability of selecting the first orange = 4/12
After selecting the first orange, there are now 11 fruits left in the basket, with 3 oranges remaining.
Probability of selecting the second orange = 3/11
Since the fruits are not replaced after each selection, the probability of selecting 2 oranges in a row is:
(4/12) * (3/11) = 12/132 = 3/33
So, the probability of selecting 2 oranges in a row, without replacement, is 3/33.